125 citations · 444 across the 26 of their papers we have counts for
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Spin- model with competing interactions on diamond-decorated lattices
D. V. Dmitriev, V. Ya. Krivnov, O. A. Vasilyev
We investigate the ground state properties, magnetization, and low-temperature thermodynamics of the ferromagnetic-antiferromagnetic spin- model on diamond-decorated lattices wi…
Frustrated spin models on two- and three-dimensional decorated lattices with high residual entropy
D. V. Dmitriev, V. Ya. Krivnov, O. A. Vasilyev
We study the ground-state properties of a family of frustrated spin-1/2 Heisenberg models on two- and three-dimensional decorated lattices composed of connected star-shaped units.…
Phase diagram and macroscopic ground state degeneracy of frustrated spin-1/2 anisotropic Heisenberg model on diamond-decorated lattices
D. V. Dmitriev, V. Ya. Krivnov, O. A. Vasilyev
We study the ground state properties of the anisotropic spin-1/2 Heisenberg model on lattices built from ideal diamond units with competing ferro- and antiferromagnetic interaction…
Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
D. V. Dmitriev, V. Ya. Krivnov, O. A. Vasilyev
We investigate the spin-1/2 Heisenberg model with competing ferromagnetic and antiferromagnetic interactions on diamond-decorated lattices. Tuning the exchange interactions to the…
Macroscopic degeneracy of ground state in the frustrated Heisenberg diamond chain
D. V. Dmitriev, V. Ya. Krivnov
The spin- Heisenberg diamond chain with ferro- and antiferromagnetic exchange interactions is studied. The phase boundary in the parametric space of these interactions…
Magnetic properties of ferro-antiferromagnetic spin triangle chain
D. V. Dmitriev, V. Ya. Krivnov
We study the frustrated spin- model consisting of a linear chain of triangles with ferro (F)- and antiferromagnetic (AF) interactions connected by ferromagnetic intera…
Magnetic properties of delta- and kagome-like chains with competing interactions
D. V. Dmitriev, V. Ya. Krivnov
We study the delta-chain with spin- on basal sites and spin- on apical sites. The Heisenberg interaction between neighbor basal spins is antiferromagnetic (AF) and…
Two-dimensional spin models with macroscopic degeneracy
D. V. Dmitriev, V. Ya. Krivnov
We consider a class of anisotropic spin- models with competing ferro- and antiferromagnetic interactions on two-dimensional Tasaki and kagome lattices consisting of co…
Anomalous thermodynamics of a quantum spin system with large residual entropy
J. Richter, J. Schulenburg, D. V. Dmitriev +2
In contrast to strongly frustrated classical systems, their quantum counterparts typically have a non-degenerate ground state. A counterexample is the celebrated Heisenberg sawtoot…
Flat-band physics in the spin-1/2 sawtooth chain
Oleg Derzhko, Jürgen Schnack, D. V. Dmitriev +2
We consider the strongly anisotropic spin-1/2 model on the sawtooth-chain lattice with ferromagnetic longitudinal interaction and aniferromagnetic transversal int…
The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field
D. V. Dmitriev, V. Ya. Krivnov, J. Schnack +1
We study the thermodynamics of the delta-chain with competing ferro- and antiferromagnetic interactions in an external magnetic field which generalizes the field-free case studied…
Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions
D. V. Dmitriev, V. Ya. Krivnov, J. Richter +1
Motivated by a novel cyclic compound with record ground state spin in which the arrangement of magnetic ions with and corresponds t…
Heisenberg-Ising delta-chain with bond alternation
D. V. Dmitriev, V. Ya. Krivnov
The spin- delta-chain (sawtooth chain) with antiferromagnetic Heisenberg basal chain and Ising apical-basal interactions is studied. The basal-apical interactions invo…
Universal low-temperature magnetic properties of the classical and quantum dimerized ferromagnetic spin chain
D. V. Dmitriev, V. Ya. Krivnov
Low-temperature magnetic properties of both classical and quantum dimerized ferromagnetic spin chains are studied. It is shown that at low temperatures the classical dimerized mode…
The J1-J2 Heisenberg model at and close to its z=4 quantum critical point
J. Sirker, V. Y. Krivnov, D. V. Dmitriev +5
We study the frustrated J1-J2 Heisenberg model with ferromagnetic nearest neighbor coupling J1<0 and antiferromagnetic next-nearest neighbor coupling J2>0 at and close to the z=4 q…
Multi-magnon bound states in easy-axis ferromagnetic zigzag spin chain
D. V. Dmitriev, V. Ya. Krivnov
The frustrated spin-1/2 chain with weakly anisotropic ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchanges is studied. We focus on the excitation sp…
Quasi-one-dimensional anisotropic Heisenberg model in a transverse magnetic field
D. V. Dmitriev, V. Ya. Krivnov
The phase diagram of weakly coupled chains in a transverse magnetic field is studied using the mean-field approximation for the interchain coupling and known exact results fo…
The antiferromagnetic Ising chain in a mixed transverse and longitudinal magnetic field
A. A. Ovchinnikov, D. V. Dmitriev, V. Ya. Krivnov +1
We have studied the antiferromagnetic Ising chain in a transverse magnetic field and uniform longitudinal field . Using the density matrix renormalization group calc…
Gap generation in the XXZ model in a transverse magnetic field
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
The ground state phase diagram of the 1D XXZ model in transverse magnetic field is obtained. It consists of the gapped phases with different types of long range order (LRO) and cri…
Exact ground states for a class of one-dimensional frustrated quantum spin models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We have found the exact ground state for two frustrated quantum spin-1/2 models on a linear chain. The first model describes ferromagnet- antiferromagnet transition point. The sing…
Two-dimensional frustrated Heisenberg model: Variational study
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
The stability of the ferromagnetic phase of the 2D quantum spin-1/2 model with nearest-neighbor ferro- and next-nearest neighbor antiferromagnetic interactions is studied. It turns…
Exact singlet bond ground states for electronic models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We have proposed several 1D and 2D electronic models with the exact ground state. The ground state wave function of these models is represented in terms of "singlet bond" functions…
Exactly solvable two-dimensional quantum spin models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a p…
Exact ground state for 1D electronic models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We have found the exact ground state for two electronic models on a linear chain. The first model describes half-filling electron system in the ferromagnet--antiferromagnet transit…